How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns 6% interest compounded monthly.

Q: Evaluate the definite integral .9 10x² +9 dr

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Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

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Q: Find the integral. (Use C for the constant of integration.) sin(-9x) cos(8x) dx

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Q: lim X-X 3-C 3+C 2

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A: By Newton's cooling Law ⇒dTdt=KT-Ts⇒T=Temperature of thermometer at time t⇒Ts=Air temparature

Q: sin (z) h(z) - [N² h'(x) = (cos(t5) + t)dt culus rival

A: Given query is to find the derivative.

Q: 5. y=12x-3 1-2

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Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax= 1. 4 (a) Find Σ f(x) Δ.Χ. Ax. i=1 (b) The…

A: As we know ∫abfxdx≈limn→∞∑i=1nfxi∆xHere ∆x=b-an

Q: 5. dy 0sec(y/0) + y de Ө

A: 6. dydθ = θsec( yθ ) + yθ

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: (D3 - 4D²)y = 5, Find Yp 5x2 4 a. b. 5x² 4 C. 5x² 12 d. 5x² 12 e. none

A: Given that         (D3 - 4D2)y = 5

Q: Question Find the Maclaurin polynomial p2 for f(x) = ln(x + 1).

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Q: For y=f(x)=6x−1​, x=2​, and Δx=3 find ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​, ​c)…

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Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

A: The average daily metabolic rate for certain types of animals can be expressed as a function of mass…

Q: (c) Sª sec² (2x) dx

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Q: Draw the region whose area is given by the definite integral. S₁ Which graph shows the region whose…

A: Please see the below answer.

Q: Set up and evaluate the integral for the area of the shaded region. y=11-x y=121-x² Q Set up the…

A: Let's find area by using integration.

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 - sin2x 15 O c. 1 10 -sin2x -cos2x O d. 1 15 O e. none…

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Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

A: To find the intervals where the given function is increasing

Q: Give A = a -2 0 b 3 -2 -1 3 d L-5 4 AxB = -8 6, B = 5 1 0 -1 2 41 3 9 2 21 -11 31. Find all missing…

A: To find the missing values.

Q: Let f(x) = −x¹ − 5x³ + 4x + 1. Find the open intervals on which f is concave up (down). Then…

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Q: An apple farm yields an average of 44 bushels of apples per tree when 24 trees are planted on an…

A: NOTE: Refresh your page if you can't see any equations. . An apple farm yields an average of 44…

Q: 8. Convert each rectangular point to polar. Give two equivalent representations for each. a. (2,-2)…

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Q: What is the differential equation of the orthogonal trajectories of the family of curves x²-3xy -…

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Q: wrong answer

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: Find the Malclaurin Series for the function f(x)=sin(2x) write in summation form.

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Q: Find the Taylor series for the following functions, centered at the given a.

A: we need to find out the taylor series for the given function at the given value of a. Note that as…

Q: Find the values of c such that the area of the region bounded by the parabolas  y = 16x2 − c2 and y…

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Q: f(x) = 8x + 2x²-x³, g(x) = 0 The area is (Type an integer or a simplified fraction.) gr -4 18- -18 3…

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Q: Evaluate the definite integral   D=∫π/20sin(2t)dt.     NOTE: Use exact values only. Do not…

A: Given query is to find the integral.

Q: Given a = log, 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Please see the below picture for detailed solution.

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: What is the local maximum values of f(x)=x-6/x^2

A: To find point of local maximum/minimum value, Put f'(x) = 0 and solve for x. The obtained value of x…

Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

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Q: Given that Q(x) = (x − 4)²(x² + 1)²(x² – 16)4, Q(x) has: (a) 1 (b) 2 (c) 0 (d) 2 single irreducible…

A: Given function, Q(x)=(x-4)²(x²+1)²(x²-16)⁴=(x-4)⁶(x²+1)²(x+4)⁴

Q: (D2 - 3D + 2)y = ex, Find Yp -et O b. ex a. O-xex di xe O O e. none

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Q: Determine if x² - 6x + 5 lim x1 x² + 3x - 4 exists, and if it does, find its value. 2 3 1. limit 2.…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the maximum area of a rectangle that is inside of the triangle formed by the x-axis and the…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, width and…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3- 4 32 1 2 3 4 5 6

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Q: E. Use separation of variables or linear differential equations to solve the following differential…

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Q: A car rental agency rents 210 cars per day at a rate of ​$40 per day. For each ​$1 increase in​…

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Q: ] = ²P (£ + 29 + +) 7 Find(+6e+3) dz

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Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

A: Q 61

Q: Suppose f(x) is continuous on [2,8] and -3 ≤ f'(x) ≤ 4 for all x in (2,8). Use the Mean Value…

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Q: 2. Find both the maximum and minimum of f(x, y, z) = x - 2y subject to the constraints x-z = 1 and…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: 6. (continuous solution) + P(x)y= 4r where P(x) = 2 if 0 ≤ x ≤1 2 HIN if I ≥ 1 ,y(0) = 3

A: You have Asked only Qustion no. 6, 6. According to question,Given Differential equation,dydx + Px y…

Q: Find the roots of (D4 + D² + 1)

A: Given,            D4+D2+1To find : Find the roots of the D4+D2+1.

Q: Complete the parametric equations for the given rectangular equation. 1 -x+3 (a) Rectangular…

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Q: Consider the indefinite integral: A The integrand has the following partial fraction decomposition:…

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